You can download some papers as Postscript or PDF files from the list of
my publications below, or you can ask for a hardcopy
by mailing me on Maxim.Olshanskii (at) mtu-net.ru
Books and Thesis
Short course on multigrid and domain decomposition methods,
Moscow State University: MAKS-Press, Moscow, 2007 (joint with Yu.V.Vassilevski)
Full text in russian is available here;
Robust multigrid and preconditioned iterative methods, Habilitation Thesis,
(2005)
pdf-file (in russian)
Some questions of numerical simulation of unsteady incompressible
Navier-Stokes flows in primitive variables, Ph. D. thesis, Moscow State
Univ., Dept. of Mechanics and Mathematics, November 1996
Journal papers
- On the accuracy of the rotation form in simulations of the
Navier-Stokes equations, submitted,
June 2008 (joint with W.Layton, C.C.Manica, M.Neda, L.G.Rebholz),
pdf-file
- Error analysis of a projection method for the Navier-Stokes equations with Coriolis force, submitted,
June 2008 (joint with A.Sokolov and S.Turek),
pdf-file
- Finite-difference method for Bingham flows on semi-staggered grid, submitted, June 2008,
pdf-file
- An Eulerian Finite Element method for elliptic equations
on moving surfaces, submitted, March 2008 (joint with A.Reusken, J.Grande)
pdf-file
- Two finite-difference schemes for the Bingham cavity flows,
to appear in Rus. J. Num. Anal. Math. Model., (2008) (joint with E.Muravleva);
the article in russian is here; English version
will be available soon.
- Numerical study of a discrete projection method for rotating incompressible flows,
to appear in ETNA, Special Volume: Selected Papers from the 20th Chemnitz Finite Element Symposium
(2008) (joint with A.Sokolov and S.Turek)
pdf-file
- A discrete projection method for incompressible viscous flow with Coriolis force,
to appear in
Comp.Meth.Appl.Mech.Eng. (2008) (joint with A.Sokolov and S.Turek) pdf-file
- An augmented Lagrangian approach to linearized problems in hydrodynamic stability,
SIAM J.Sci.Comp. 30 (2008), 1459-1473
(joint with M.Benzi) pdf-file
- Pressure Schur complement preconditioners for the
discrete Oseen problem,
SIAM J.Sci.Comp. 29 (2007), 2686-2704 (joint with Yu.Vassilevski)
pdf-file
- An augumented lagrangian-based approach to the Oseen problem,
SIAM
J.Sci.Comp. 28 (2006) 2095-2113(joint with M.Benzi)
pdf-file
- Uniform preconditioners for a parameter dependent saddle point problem
with application to generalized Stokes interface equations,
Numerische Mathematik , 105 (2006),159--191 (joint with J.Peters, A.Reusken)
pdf-file
-
Convergence analyis of a multigrid solver for a finite element method applied to convection-dominated model problem,
SIAM J.Num.Anal.
42 (2004) 1261-1291
pdf-file
(joint with A.Reusken)
-
A low order Galerkin finite element method for the Navier-Stokes equations
of steady incompressible flow: A stabilization issue and iterative methods,
Comp.Meth.Appl.Mech.Eng. 191, 5515-5536 (2002)
pdf-file
-
Navier-Stokes equations in rotation form: a robust multigrid solver
for the velocity problem,
SIAM
J.Sci.Comp. 23 (2002) 1682-1706
(joint with A.Reusken)
ps-file
-
Stable finite element calculations of incompressible flows using the
rotation form of convection,
IMA J.Num.Anal.) 22, 437-461 (2002)
(joint with G.Lube ).
pdf-file
-
On the convergence of a multigrid method for linear
reaction-diffusion problems,
Computing, 65,193-202 (2000) (joint with A.Reusken)
pdf-file
-
On the domain geometry dependence of the LBB condition
M2AN
(Math. Modelling Numer. Anal.) 34 (2000) 935-951
(joint with E.V.Chizhonkov)
ziped ps-file
-
Effective Preconditioning of Uzawa Type Schemes for Generalized
Stokes Problem,
Numerische Mathematik V.86, 443-470, (2000) (joint with G.Kobelkov)
pdf-file
-
On the asymptotic of the constant from infsup condition in
elongated domains, Mathematical Notes, (Matematicheskie Zametki) V.67, 387-396, (2000)
(with Chizhonkov E.V) Russian version of the paper can be downloaded.
-
On Simulation of the Outflow Boundary Conditions in FD Calculations
for Incompressible Fluid,
Int. J. Numer. Meth. Fluids V.33, 499-534, (2000)
(with Staroverov V.M.) pdf-file
-
On one iterative method for numerical solution of the Stokes problem,
Vestnik MGU, Ser.15, 1993, N2, pp.72-77 (in Russian)
Papers in conference proceedings
-
On a robust multigrid method for convection-diffusion finite element problems,
(joint with A. Reusken)
pdf-file
-
A Stokes interface problem: stability, error estimate and a solver,
in Proc. of European
Congress on Computational Methods in Applied Sciences andEngineering,
ECCOMAS 2004 (Eds. P. Neittaanm\"aki, etc.), 2004
pdf-file
-
A robust iterative solver in simulation of unsteady incompressible
Navier-Stokes flow, Proc. Fourth Europ. Comput. Fluid Dynamic Conf., V.1,
(Eds. R.Papailiou, etc.), Willey, Chichester, etc., 1998, p.1296-1301
ps-file
-
On Preconditioning Techniques for Generalized Stokes Problem,
Proc. of the Conf. on Precond. Iter. Solution Meth. in Large
Scale Probl. in Scientific Comp., eds. O.Axelsson, M.Neytcheva,
B.Polman, Nijmegen, the Netherlands, 1997, 137-144
-
To numerical solution of the Stokes problem,
Proceedings of the conf. on Appl.Math. and Comp.Science, Moscow,
1996, pp.27-39, (with Kobelkov G.M. and Staroverov V.M.)
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